That's interesting. I have set mine off a couple times playing with it to see how it works. With one window down I reached inside to open a door and it went off. The alarm also goes off if you reach inside and open the hood. I assume this is to keep someone from attempting to disconnect the battery to steal the car. Both times I was able to turn it off by simply pressing the unlock button on the remote.
Also, when I let my battery rundown, the alarm went off when the roadside assistance guy connected the battery jumper to it. It turned off by pressing the unlock button.
My previous vehicle (a Ford Escape) had a similar factory alarm system. The only problem with it was that if you unlocked the door with the unlock button on the door, it turned off the alarm. So it would depend on how the thief opened the door as to whether or not the alarm would go off. On my Crossfire, the doors will not unlock with the button on the console if the alarm has been set, so it is a little tougher to defeat the alarm.